FIGURE P$10\mathrm{.}1$

$10\mathrm{.}2$ A single$-$phase half$-$wave converter in Figure P$10\mathrm{.}1$ is operated from a $120-V,60-Hz$ supply. If the load resistive load is $R=5$ and the delay angle is $=\frac{}{3},$ determine $($a$)$ the efficiency, $($b$)$ the form factor, $($c$)$ the ripple factor, $($d$)$ the transformer utilization factor, and $($e$)$ the peak inverse voltage $($PIV$)$ of thyristor $T_1.$